Statistical inference

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Kushpapy

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Sep 19, 2020
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1.The marks of a statistics exam are 30, 50, 55, 60, 70 and 75. Two of these exam marks are chosen at
random.
A. List all possible samples and find the probability function of the sampling distribution of the sample
means.
B. Verify that the mean of the sampling distribution is equal to the population mean.
C. Assume now that the above exam marks are random sample from a very large population. Find the point
estimate of
i. The population mean
ii. The population variance
iii. The Variance of the Sample Mean and
iv. The population proportion of the number of students failing the exam (exam mark <40)
 
Part A is all for you. Please list the possible samlpes. Calculate the mean of each.
 
Last edited:
You have six data elements.

30, 50, 55, 60, 70, 75

You are to select samples of 2 data elements.

List all possible results of the two-element selection. (order doesn't matter)

1) 30, 50 which is the same as 50, 30.
2) 30, 55
etc.

List them all.

It may be helpful to calculate how many different samples are possible, just to make sure you don't miss any when you think your list is done..
 
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